Chapter 8, Problem 50RE

You are given the following function. 10t G(t) = t + 7 (a) Find the derivative of the function using the definition of derivative. G '(t) = (b) Select the domain of the function. O (-∞, -7] U [7, 0) O [-7, 7] O (-7, 7) O (∞, -7) U (-7, 0) (c) Select the domain of its derivative. O (-0∞, -7] U [7, ) O (7, 7) O [-7, 7] O (-0, -7) U (-7, ∞) OR

You are given the following function. 4t G(t) = t + 9 (a) Find the derivative of the function using the definition of derivative. G '(t) = (b) Select the domain of the function. O (-9, 9) O (-0o, -9) U (-9, co) O (-00, -9] U [9, co) O (-9, 9] O IR (c) Select the domain of its derivative. O (-0, -9) U (9, o) O [-9, 9] O IR O (-co, -9] U [9, co) O (-9, 9)

f (x) is a function with the domaln (-o, –7) U (–7, 3) U (3, 0), and the graph of f "(x) given below (1.e., the graph of the second derivative of f (x)). f"(x -7 6. Find the x-value(s) of the inflection points of ƒ(x). O x = -6, x = 0, and x = 7 only Ox = -2, x = 2, and = 4 only O x = -7, and x = 3 only %3D O ¤ = -6, x = -2, x = 0, = 2, x = 4, and x = 7 only I = -7, ¤ = -6, x = –2, I = 0, x = 2, x = 3, x = 4, and x = 7 only ||